G. Forni

Geometry and Topology · 2003–2013

A researcher in the Science corpus: 8 papers; trusts 30 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 61 citations into it; #334 of 7,422 by trust here, #763 by citations
• Mathematical Physics — 58 citations into it; #248 of 8,562 by trust here, #408 by citations
• Statistical and Nonlinear Physics — 15 citations into it; #1,923 of 10,127 by trust here, #2,578 by citations
• Applied Mathematics — 10 citations into it; #385 of 7,620 by trust here, #991 by citations
• Computational Theory and Mathematics — 10 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it
• Theoretical Computer Science — 6 citations into it

Whom G. Forni trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. A. Eskin
2. A. Zorich
3. Artur Avila
4. H. Masur
5. M. Kontsevich
6. Martin Möller
7. Irene I. Bouw
8. Stefano Marmi
9. Matt Bainbridge
10. Kariane Calta

Who trusts G. Forni overall

1. Alexander I. Bufetov
2. Carlos Matheus
3. Artur Avila
4. A. Eskin
5. A. Zorich
6. Marcelo Viana
7. Jayadev S. Athreya
8. J. Yoccoz
9. Martin Möller
10. Irene I. Bouw

Papers from G. Forni's perspective

Ordered by how strongly the researchers G. Forni trusts endorse each paper. Same corpus, a different order for every researcher.

1. The theta characteristic of a branched covering
2. SQUARE-TILED CYCLIC COVERS
3. A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle
4. Rational billiards and flat structures
5. Flat Surfaces
6. Euler characteristics of Teichmüller curves in genus two
7. ON ARITHMETIC CURVES IN THE MODULI SPACES OF CURVES (Journal of the Institute of Mathematics of Jussieu)
8. Lyapunov spectrum of square-tiled cyclic covers
9. Invariants of translation surfaces
10. Extremal Lyapunov exponents: an invariance principle and applications

Their papers

• Introduction to Teichm\"uller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards (2013) — 100 citations
• SQUARE-TILED CYCLIC COVERS (2010) — 55 citations
• A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle (2010) — 51 citations
• Chapter 8 - On the Lyapunov Exponents of the Kontsevich–Zorich Cocycle (2006) — 72 citations
• Equidistribution of nilflows and applications to theta sums (2006) — 56 citations
• Weak mixing for interval exchange transformations and translation flows (2004) — 213 citations
• Deviation of ergodic averages for area-preserving flows on surfaces of higher genus (2004) — 294 citations
• Invariant distributions and time averages for horocycle flows (2003) — 193 citations